Asked by Allison Belew on Jul 17, 2024
Verified
The following information regarding a dependent variable (y) and an independent variable (x) is provided. 
SSE = 1.9
SST = 6.8
The MSE is
A) 4.9.
B) .63.
C) 6.8.
D) 1.9.
Dependent Variable
A response variable whose variation is being studied to understand the impact of one or more independent variables.
Independent Variable
A factor in a study or simulation that is intentionally altered to examine its impact on the outcome variable.
SSE
Sum of Squared Errors; a measure used in statistics to quantify the variation or deviation of predicted values from the actual observed values.
- Calculate and interpret SSE, SST, and MSE in regression analysis.
Verified Answer
And SST = SSE + SSR ;
if the regression equation fits the data well, then SSR will be large and SSE will be small.
Since there is no information about SSR, we can assume SST ≈ SSR and thus SST is large as compared to SSE. Therefore, we can conclude that the denominator in the calculation of MSE is large, which means that the value of MSE will be small.
Hence, the only option which is small is option B (.63).
Learning Objectives
- Calculate and interpret SSE, SST, and MSE in regression analysis.
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